# how much potential energy was converted into thermal energy (heat)?

A new ride being built at an amusement park includes a vertical drop of 71.6 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. If the velocity at the bottom of the drop is 10.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg, how much potential energy was converted into thermal energy (heat)?

2.3 x 107 J

2.6 x 107 J

4.3 x 107 J

6.7 x 107 J

Update:

2.3x10^7J

2.6x10^7J

4.3x10^7J

6.7x10^7J

Update 2:

3.5x104kg is actually 3.5x10^4kg

sorry

### 1 Answer

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- WhomeLv 71 month agoFavorite Answer
Initial potential energy = mgh = 3.5x10^4(9.8)(71.6) = 24.6x10^6 J

Kinetic energy at the bottom = ½mv² = ½(3.5x10^4)10.0² = 1.75x10^6 J

Energy converted to heat = 24.6x10^4 - 1.75x10^4 = 22.8x10^6 J

which rounds to your possible answer of 2.3x10^7J

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